Q 15 - 2 men and 7 boys can do a piece of work in 14 days; 3.men and 8 b
do the same in 11 days. Then, 8 men and 6 boys can do three times the a
this work in
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Let one man’s one day work be x
Let one man’s one day work be xLet one boy’s one day work be y
Let one man’s one day work be xLet one boy’s one day work be y2x+7y=1/14 ... (1)
Let one man’s one day work be xLet one boy’s one day work be y2x+7y=1/14 ... (1)3x + 8y = 1 /11 ... (2)
Let one man’s one day work be xLet one boy’s one day work be y2x+7y=1/14 ... (1)3x + 8y = 1 /11 ... (2)Equating (1) & (2), x = 1 / 77 and y = 1/ 154
Let one man’s one day work be xLet one boy’s one day work be y2x+7y=1/14 ... (1)3x + 8y = 1 /11 ... (2)Equating (1) & (2), x = 1 / 77 and y = 1/ 154Hence, the days taken to complete by 8 men and 6 boys
3 times the work can be completed by 8 men and 6 boys = 3 x 7 = 21 days.
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